Question
Solve the equation
x=−66321780
Alternative Form
x≈−0.423131
Evaluate
−12x2×44x−40=0
Multiply
More Steps

Evaluate
−12x2×44x
Multiply the terms
−528x2×x
Multiply the terms with the same base by adding their exponents
−528x2+1
Add the numbers
−528x3
−528x3−40=0
Move the constant to the right-hand side and change its sign
−528x3=0+40
Removing 0 doesn't change the value,so remove it from the expression
−528x3=40
Change the signs on both sides of the equation
528x3=−40
Divide both sides
528528x3=528−40
Divide the numbers
x3=528−40
Divide the numbers
More Steps

Evaluate
528−40
Cancel out the common factor 8
66−5
Use b−a=−ba=−ba to rewrite the fraction
−665
x3=−665
Take the 3-th root on both sides of the equation
3x3=3−665
Calculate
x=3−665
Solution
More Steps

Evaluate
3−665
An odd root of a negative radicand is always a negative
−3665
To take a root of a fraction,take the root of the numerator and denominator separately
−36635
Multiply by the Conjugate
366×3662−35×3662
Simplify
366×3662−35×34356
Multiply the numbers
More Steps

Evaluate
−35×34356
The product of roots with the same index is equal to the root of the product
−35×4356
Calculate the product
−321780
366×3662−321780
Multiply the numbers
More Steps

Evaluate
366×3662
The product of roots with the same index is equal to the root of the product
366×662
Calculate the product
3663
Reduce the index of the radical and exponent with 3
66
66−321780
Calculate
−66321780
x=−66321780
Alternative Form
x≈−0.423131
Show Solution
